Trigonometric Ratios (SOHCAHTOA)

Front

What does SOHCAHTOA stand for?

Back

SOHCAHTOA is a mnemonic for remembering the definitions of the sine, cosine, and tangent ratios: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

What is the sine ratio?

Back

The sine ratio is defined as the length of the opposite side divided by the length of the hypotenuse in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine ratio?

Back

The cosine ratio is defined as the length of the adjacent side divided by the length of the hypotenuse in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

What is the tangent ratio?

Back

The tangent ratio is defined as the length of the opposite side divided by the length of the adjacent side in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

In a right triangle, if the angle is 30 degrees, what is the sine of that angle?

Back

The sine of 30 degrees is 0.5.

Tags

CCSS.HSG.SRT.C.6

Front

In a right triangle, if the angle is 60 degrees, what is the cosine of that angle?

Back

The cosine of 60 degrees is 0.5.

Tags

CCSS.HSG.SRT.C.6

Front

If the opposite side is 3 and the adjacent side is 4, what is the tangent of the angle?

Back

The tangent of the angle is 3/4 or 0.75.

Tags

CCSS.HSG.SRT.C.6

Front

What type of triangles can SOHCAHTOA be applied to?

Back

SOHCAHTOA can only be applied to right triangles.

Tags

CCSS.HSG.SRT.C.6

Front

If sine(θ) = 0.5, what is θ?

Back

θ = 30 degrees or 150 degrees.

Tags

CCSS.HSF.TF.B.7

Front

If cosine(θ) = 0.77, what is θ?

Back

θ ≈ 40 degrees.

Tags

CCSS.HSF.TF.B.7